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5706480 = 2435133159
BaseRepresentation
bin10101110001001011110000
3101201220211010
4111301023300
52430101410
6322150520
766334653
oct25611360
911656733
105706480
1132483aa
121ab2440
13124a520
14a8789a
1577ac20
hex5712f0

5706480 has 160 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1336320.

The previous prime is 5706469. The next prime is 5706497. The reversal of 5706480 is 846075.

5706480 = T337 + T338 + ... + T416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96691 + ... + 96749.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 25706480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

5706480 is an abundant number, since it is smaller than the sum of its proper divisors (14292240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5706480 is a wasteful number, since it uses less digits than its factorization.

5706480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5706480 is about 2388.8239784463. The cubic root of 5706480 is about 178.6992651096.

The spelling of 5706480 in words is "five million, seven hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 59 60 62 65 78 80 93 104 118 120 124 130 155 156 177 186 195 208 236 240 248 260 295 310 312 354 372 390 403 465 472 496 520 590 620 624 708 744 767 780 806 885 930 944 1040 1180 1209 1240 1416 1488 1534 1560 1612 1770 1829 1860 2015 2301 2360 2418 2480 2832 3068 3120 3224 3540 3658 3720 3835 4030 4602 4720 4836 5487 6045 6136 6448 7080 7316 7440 7670 8060 9145 9204 9672 10974 11505 12090 12272 14160 14632 15340 16120 18290 18408 19344 21948 23010 23777 24180 27435 29264 30680 32240 36580 36816 43896 46020 47554 48360 54870 61360 71331 73160 87792 92040 95108 96720 109740 118885 142662 146320 184080 190216 219480 237770 285324 356655 380432 438960 475540 570648 713310 951080 1141296 1426620 1902160 2853240 5706480